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Math Help - help with probability proof!

  1. #1
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    Question help with probability proof!

    These are from a textbook

    1.
    Consider the uniform distribution on [0,1]. Compute with proof.

    lim P([1/4,1-e^(-n)])
    n->infinity

    2.

    Suppose P([0,8/(4+n)]) = (2+e^(-n)) / 6 for all n = 1,2,3...
    What must P({0}) be?
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  2. #2
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    Quote Originally Posted by Sneaky View Post
    These are from a textbook

    1.
    Consider the uniform distribution on [0,1]. Compute with proof.

    lim P([1/4,1-e^(-n)])
    n->infinity

    2.

    Suppose P([0,8/(4+n)]) = (2+e^(-n)) / 6 for all n = 1,2,3...
    What must P({0}) be?
    What is P([1/4,1-e^(-n)]) meant to mean? Are you saying that X is a continuous random variable that has a standard uniform pdf and P([1/4,1-e^(-n)]) means P(1/4 < X < 1 - e^(-n))? If so, where exactly is your difficulty?
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  3. #3
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    well i figured out number 1 and am stuck on 2..
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  4. #4
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    Quote Originally Posted by Sneaky View Post
    well i figured out number 1 and am stuck on 2..
    Unless you explain the notation you're using I don't think too many people are going to be replying. (I'd thought post #2 made it obvious that clarification of your notation was needed - by me, at least).
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